What is the Least Common Multiple of 4180 and 4187?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4180 and 4187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4180 and 4187, than apply into the LCM equation.

GCF(4180,4187) = 1
LCM(4180,4187) = ( 4180 × 4187) / 1
LCM(4180,4187) = 17501660 / 1
LCM(4180,4187) = 17501660

Least Common Multiple (LCM) of 4180 and 4187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4180 and 4187. First we will calculate the prime factors of 4180 and 4187.

Prime Factorization of 4180

Prime Factorization of 4187

Now multiplying the highest exponent prime factors to calculate the LCM of 4180 and 4187.

LCM(4180,4187) = 2² × 5¹ × 11¹ × 19¹ × 53¹ × 79¹
LCM(4180,4187) = 17501660